Geodesic
Order-sharp estimates for Hardy-type operators on the cones of functions with properties of monotonicity
Eurasian mathematical journal, Tome 3 (2012) no. 2, pp. 53-84

Voir la notice de l'article provenant de la source Math-Net.Ru

Two-sided estimates are established for two types of generalized Hardy operators on the cones of functions in weighted Lebesgue spaces with some properties of monotonicity. We prove the results announced in [7], and present some other equivalent forms for the criterion of boundedness. Some other equivalent descriptions, particular cases, and results in the case of degenerate measures will be given in our next paper. 
@article{EMJ_2012_3_2_a4,
     author = {M. L. Goldman},
     title = {Order-sharp estimates for {Hardy-type} operators on the cones of functions with properties of monotonicity},
     journal = {Eurasian mathematical journal},
     pages = {53--84},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2012_3_2_a4/}
}
TY  - JOUR
AU  - M. L. Goldman
TI  - Order-sharp estimates for Hardy-type operators on the cones of functions with properties of monotonicity
JO  - Eurasian mathematical journal
PY  - 2012
SP  - 53
EP  - 84
VL  - 3
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EMJ_2012_3_2_a4/
LA  - en
ID  - EMJ_2012_3_2_a4
ER  - 
%0 Journal Article
%A M. L. Goldman
%T Order-sharp estimates for Hardy-type operators on the cones of functions with properties of monotonicity
%J Eurasian mathematical journal
%D 2012
%P 53-84
%V 3
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EMJ_2012_3_2_a4/
%G en
%F EMJ_2012_3_2_a4
M. L. Goldman. Order-sharp estimates for Hardy-type operators on the cones of functions with properties of monotonicity. Eurasian mathematical journal, Tome 3 (2012) no. 2, pp. 53-84. http://geodesic.mathdoc.fr/item/EMJ_2012_3_2_a4/